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Simplifying -72 = 3(1 + -5n) + -6(2 + -1n) -72 = (1 * 3 + -5n * 3) + -6(2 + -1n) -72 = (3 + -15n) + -6(2 + -1n) -72 = 3 + -15n + (2 * -6 + -1n * -6) -72 = 3 + -15n + (-12 + 6n) Reorder the terms: -72 = 3 + -12 + -15n + 6n Combine like terms: 3 + -12 = -9 -72 = -9 + -15n + 6n Combine like terms: -15n + 6n = -9n -72 = -9 + -9n Solving -72 = -9 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -72 + 9n = -9 + -9n + 9n Combine like terms: -9n + 9n = 0 -72 + 9n = -9 + 0 -72 + 9n = -9 Add '72' to each side of the equation. -72 + 72 + 9n = -9 + 72 Combine like terms: -72 + 72 = 0 0 + 9n = -9 + 72 9n = -9 + 72 Combine like terms: -9 + 72 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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